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130023313120 = 2554191121757
BaseRepresentation
bin111100100010111111…
…1100100111011100000
3110102121112210200012201
41321011333210323200
54112241432004440
6135422030502544
712252045632431
oct1710577447340
9412545720181
10130023313120
1150162852678
1221248664a54
13c351977c8c
146416617488
1535aee1b19a
hex1e45fe4ee0

130023313120 has 96 divisors (see below), whose sum is σ = 315032167296. Its totient is φ = 50682777600.

The previous prime is 130023313081. The next prime is 130023313181. The reversal of 130023313120 is 21313320031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5965282 + ... + 5987038.

It is an arithmetic number, because the mean of its divisors is an integer number (3281585076).

Almost surely, 2130023313120 is an apocalyptic number.

130023313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130023313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157516083648).

130023313120 is an abundant number, since it is smaller than the sum of its proper divisors (185008854176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130023313120 is a wasteful number, since it uses less digits than its factorization.

130023313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22724 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 130023313120 its reverse (21313320031), we get a palindrome (151336633151).

The spelling of 130023313120 in words is "one hundred thirty billion, twenty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 911 1312 1640 1822 3280 3644 4555 6560 7288 9110 14576 18220 21757 29152 36440 37351 43514 72880 74702 87028 108785 145760 149404 174056 186755 217570 298808 348112 373510 435140 597616 696224 747020 870280 892037 1195232 1494040 1740560 1784074 2988080 3481120 3568148 4460185 5976160 7136296 8920370 14272592 17840740 19820627 28545184 35681480 39641254 71362960 79282508 99103135 142725920 158565016 198206270 317130032 396412540 634260064 792825080 812645707 1585650160 1625291414 3171300320 3250582828 4063228535 6501165656 8126457070 13002331312 16252914140 26004662624 32505828280 65011656560 130023313120